The value of tan 315° is the same as the value of:

Correct option is D

​$$\text{Using the periodicity and symmetry of the tangent function:}\\\tan(360^\circ - \theta) = - \tan \theta\\\tan 315^\circ = \tan(360^\circ - 45^\circ) = - \tan 45^\circ\\\tan 45^\circ = 1 \\\quad \Rightarrow \quad \tan 315^\circ = -1\\\textbf{Compare with Other Angles}\\\tan 135^\circ = \tan(180^\circ - 45^\circ) = - \tan 45^\circ = -1$$​​